Finding the Third Proportional to 37,800 and 78,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,800 : 78,709.50 = 78,709.50 : x
2. Step 2: Convert to fraction form
   37,800/78,709.50 = 78,709.50/x
3. Step 3: Cross multiply
   37,800x = 78,709.50 × 78,709.50
4. Step 4: Simplify right side
   37,800x = 6,195,185,390.25
5. Step 5: Solve for x
   x = 6,195,185,390.25/37,800
6. Step 6: Final answer
   x = 163,893.79